Jump to content
Sign in to follow this  
Silencer

Calculus: Limits

Recommended Posts

Let [math]f(x) = (1 + \frac{1}{x})^{x}[/math]

 

a. Find the domain of f.

b. Draw the graph of f.

c. Explain why x=-1 and x=0 are points of discontinuity of f.

d. Are either of the discontinuities in part c removable? Explain.

e. Use graphs and tables to estimate [math]\lim_{x\to\infty} f(x)[/math]

 

I don't really know how to do a. There are a lot of values between -1 and 0 that are undefined. B and C are easy enough. D I have trouble because I don't know how to find the limit with the exponent. Would substitution be valid? And e I can handle.

 

Thank you!

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
Sign in to follow this  

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.